Self organized criticality in a modified Olami-Feder-Christensen model

WOS: 000292828500011A modified version of the Olami-Feder-Christensen model has been introduced to consider avalanche size differences. Our model well demonstrates the power-law behavior and finite size scaling of avalanche size distribution in any range of the adding parameter p (a) (d) (d) of the model. The probability density functions of the avalanche size differences at consecutive time steps (defined as returns) appear to be well approached, in the thermodynamic limit, by q-Gaussian shape with appropriate q values which can be obtained a priori from the avalanche size exponent tau. For small system sizes, however, return distributions are found to be consistent with the crossover formulas proposed recently in Tsallis and Tirnakli [J. Phys. Conf. Ser. 201, 012001 (2010)]. Our results strengthen recent findings of Caruso et al. [Phys. Rev. E 75, 055101(R) (2007)] on the real earthquake data which support the hypothesis that knowing the magnitude of previous earthquakes does not make the magnitude of the next earthquake predictable.National Natural Science Foundation of ChinaNational Natural Science Foundation of China [10675060]; Natural science fund for colleges and universities in Jiangsu Province [10KJB14002]; Highly educated professional fund for Nanjing Forestry University [B2010-14]; Ege UniversityEge University [2009FEN027]This work has been supported by the National Natural Science Foundation of China under Grant No. 10675060, Natural science fund for colleges and universities in Jiangsu Province No. 10KJB14002, Highly educated professional fund for Nanjing Forestry University No. B2010-14 and by Ege University under the Research Project number 2009FEN027. We are grateful to C. P. Zhu, H. Kong, J. Wang, and X. Li for valuable suggestions that helped us to improve the manuscript